Question

The HCF of two number is 15 and their product is 1650 . Find thier LCM​

Answer 1

Answer:

110

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Step-by-step explanation:

Answer 2

Given :–

• H.C.F. (Highest Common Factor) = 15.
• Product of two numbers = 1650.

To Find :–

• Value of L.C.M. (Least Common Multiple).

Solution :–

Let,

The L.C.M. be x.

We know that,

L.C.M. × H.C.F. = Product of two numbers

Given,

• H.C.F. = 15
• Product = 1650

Put both the values.

➪ x × 15 = 1650

➪ 15x = 1650

➪ x = $\dfrac{\cancel{1650}}{\cancel{15}}$

Cut the denominator and the numerator by 5, we obtain

➪ x = $\dfrac{\cancel{330}}{\cancel{3}}$

➪ x = $\dfrac{110}{1}$

➪ x = 110

Hence,

The L.C.M. (least common multiple) is 110.

Check :–

L.C.M. × H.C.F. = Product of two number

• L.C.M. = 110
• H.C.F. = 15
• Product = 1650

Put all the values.

➪ 110 × 15 = 1650

Now, multiply the L.H.S. (left hand side).

➪ 1650 = 1650

Since, the L.H.S. and the R.H.S. are equal.

So, the value of L.C.M. is 110.